Answer:
The answer to your question is None of the options, the answer is y ≥ 1
Step-by-step explanation:
Inequality
5 - 3 (y + 2) ≤ 6y - 10
1.- Expand
5 - 3y - 6 ≤ 6y - 10
2.- Simplify like terms
-3y - 1 ≤ 6y - 10
3.- Add -6y in both sides
- 3y - 6y - 1 ≤ 6y - 10 - 6y
4.- Simplify
-9y - 1 ≤ -10
5.- Add 1 in both sides
-9y - 1 + 1 ≤ -10 + 1
6.- Simplify
-9y ≤ -9
7.- Divide both sides by -9 and change ≤ by ≥
-9/-9 y ≥ -9/-9
8.- Simplify
y ≥ 1
Answer:
x= 116°
y= 127°
Step-by-step explanation:
x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch
y.... Angle in a cyclic quadrilateral add up to 180°
hence 180-53=127
Y= 2/3x+1
or
y=2/3x+b
.....................
Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side = 
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side = 
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Assuming that c is the length of AB (as is usually the case in the angle-side notation for triangles):
If sin(35) = 12/c, we can transform by multiplying both sides by c, and dividing both by sin(35) to get
c = 12/sin(35)
Evaluating using a calculator gives 20.92 units.
